Subgroups — C₅₉×#62214 #28474323

Order 15104.

1642 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3563	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#3516	C₂	1	1	yes	maximal, characteristic
3	C₅₉×#3390	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#3383	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#3364	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#3352	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#3346	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#3344	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#3338	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#3337	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#3336	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#3327	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#3316	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#3312	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#3300	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#3300	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#3299	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#3261	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#3248	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₉×#3243	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#3242	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₉×#3232	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₉×#3127	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₉×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₉×#3104	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₉×#3083	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₉×#3082	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₅₉×#479	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₉×#2994	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅₉×#564	—	2	1	no	—
33	C₅₉×#563	—	2	1	no	—
34	C₅₉×#557	C₂²	1	1	yes	characteristic
35	C₅₉×#557	C₂²	1	1	yes	characteristic
36	C₅₉×#557	C₂²	1	1	yes	characteristic
37	C₅₉×#556	—	2	1	no	—
38	C₅₉×#556	C₂²	1	1	yes	characteristic
39	C₅₉×#554	—	2	1	no	—
40	C₅₉×#554	C₂²	1	1	yes	characteristic
41	C₅₉×#554	C₂²	1	1	yes	characteristic
42	C₅₉×#554	C₂²	1	1	yes	characteristic
43	C₅₉×#553	—	2	1	no	—
44	C₅₉×#553	C₂²	1	1	yes	characteristic
45	C₅₉×#552	—	2	1	no	—
46	C₅₉×#552	—	2	1	no	—
47	C₅₉×#552	—	2	1	no	—
48	C₅₉×#552	C₂²	1	1	yes	characteristic
49	C₅₉×#552	C₂²	1	1	yes	characteristic
50	C₅₉×#552	C₂²	1	1	yes	characteristic
51	C₅₉×#552	C₂²	1	1	yes	characteristic
52	C₅₉×#552	C₂²	1	1	yes	characteristic
53	D₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
54	C₅₉×#548	C₂²	1	1	yes	characteristic
55	C₅₉×#548	C₂²	1	1	yes	characteristic
56	C₅₉×#544	—	2	1	no	—
57	C₅₉×#544	C₂²	1	1	yes	characteristic
58	C₅₉×#544	C₂²	1	1	yes	characteristic
59	C₅₉×#542	—	2	1	no	—
60	C₅₉×#542	C₂²	1	1	yes	characteristic
61	C₅₉×#541	—	2	1	no	—
62	C₅₉×#541	—	2	1	no	—
63	C₅₉×#541	—	2	1	no	—
64	C₅₉×#541	C₂²	1	1	yes	characteristic
65	C₅₉×#541	C₂²	1	1	yes	characteristic
66	C₅₉×#541	C₂²	1	1	yes	characteristic
67	C₅₉×#539	—	2	1	no	—
68	C₅₉×#533	C₂²	1	1	yes	characteristic
69	C₅₉×#529	—	2	1	no	—
70	C₅₉×#529	—	2	1	no	—
71	C₅₉×#529	C₂²	1	1	yes	characteristic
72	C₅₉×#529	C₂²	1	1	yes	characteristic
73	C₂×#125×C₅₉	C₂²	1	1	yes	characteristic
74	C₅₉×#520	C₂²	1	1	yes	characteristic
75	C₅₉×#519	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
77	C₅₉×#501	C₂²	1	1	yes	characteristic
78	C₅₉×#501	C₂²	1	1	yes	characteristic
79	C₅₉×#500	C₂²	1	1	yes	characteristic
80	C₅₉×#499	C₂²	1	1	yes	characteristic
81	C₅₉×#499	C₂²	1	1	yes	characteristic
82	C₅₉×#499	C₂²	1	1	yes	characteristic
83	C₅₉×#491	C₂²	1	1	yes	characteristic
84	C₅₉×#489	C₂²	1	1	yes	characteristic
85	C₅₉×#488	C₂²	1	1	yes	characteristic
86	C₅₉×#488	C₂²	1	1	yes	characteristic
87	C₅₉×#488	C₂²	1	1	yes	characteristic
88	C₅₉×#487	C₂²	1	1	yes	characteristic
89	C₅₉×#485	C₂²	1	1	yes	characteristic
90	C₅₉×#485	C₂²	1	1	yes	characteristic
91	C₅₉×#485	C₂²	1	1	yes	characteristic
92	C₅₉×#485	C₂²	1	1	yes	characteristic
93	C₅₉×#485	C₂²	1	1	yes	characteristic
94	C₅₉×#484	C₂²	1	1	yes	characteristic
95	C₅₉×#484	C₂²	1	1	yes	characteristic
96	C₅₉×#484	C₂²	1	1	yes	characteristic
97	C₅₉×#484	C₂²	1	1	yes	characteristic
98	C₅₉×#484	C₂²	1	1	yes	characteristic
99	C₅₉×#484	C₂²	1	1	yes	characteristic
100	C₅₉×#483	C₂²	1	1	yes	characteristic
101	C₅₉×#483	C₂²	1	1	yes	characteristic
102	C₅₉×#483	C₂²	1	1	yes	characteristic
103	C₅₉×#482	C₂²	1	1	yes	characteristic
104	C₅₉×#481	C₂²	1	1	yes	characteristic
105	C₅₉×#480	C₂²	1	1	yes	characteristic
106	C₅₉×#480	C₂²	1	1	yes	characteristic
107	C₅₉×#479	C₂²	1	1	yes	characteristic
108	C₅₉×#479	C₂²	1	1	yes	characteristic
109	C₅₉×#479	C₂²	1	1	yes	characteristic
110	C₅₉×#479	C₂²	1	1	yes	characteristic
111	C₅₉×#479	C₂²	1	1	yes	characteristic
112	C₅₉×#479	C₂²	1	1	yes	characteristic
113	C₅₉×#479	C₂²	1	1	yes	characteristic
114	C₅₉×#479	C₂²	1	1	yes	characteristic
115	C₅₉×#479	C₂²	1	1	yes	characteristic
116	C₅₉×#479	C₂²	1	1	yes	characteristic
117	C₅₉×#479	C₂²	1	1	yes	characteristic
118	C₅₉×#479	C₂²	1	1	yes	characteristic
119	C₅₉×#479	C₂²	1	1	yes	characteristic
120	C₅₉×#479	C₂²	1	1	yes	characteristic
121	C₅₉×#479	C₂²	1	1	yes	characteristic
122	C₅₉×#479	C₂²	1	1	yes	characteristic
123	C₅₉×#479	C₂²	1	1	yes	characteristic
124	C₅₉×#478	C₂²	1	1	yes	characteristic
125	C₅₉×#478	C₂²	1	1	yes	characteristic
126	C₅₉×#478	C₂²	1	1	yes	characteristic
127	C₅₉×#477	C₂²	1	1	yes	characteristic
128	C₅₉×#477	C₂²	1	1	yes	characteristic
129	C₅₉×#477	C₂²	1	1	yes	characteristic
130	C₅₉×#477	C₂²	1	1	yes	characteristic
131	C₅₉×#477	C₂²	1	1	yes	characteristic
132	C₅₉×#475	C₂²	1	1	yes	characteristic
133	C₅₉×#475	C₂²	1	1	yes	characteristic
134	C₅₉×#475	C₂²	1	1	yes	characteristic
135	C₅₉×#474	C₂²	1	1	yes	characteristic
136	C₅₉×#474	C₂²	1	1	yes	characteristic
137	C₅₉×#470	C₂²	1	1	yes	characteristic
138	C₅₉×#470	C₂²	1	1	yes	characteristic
139	C₅₉×#470	C₂²	1	1	yes	characteristic
140	C₅₉×#468	C₂²	1	1	yes	characteristic
141	C₅₉×#467	C₂²	1	1	yes	characteristic
142	C₅₉×#467	C₂²	1	1	yes	characteristic
143	C₅₉×#467	C₂²	1	1	yes	characteristic
144	C₅₉×#467	C₂²	1	1	yes	characteristic
145	C₅₉×#467	C₂²	1	1	yes	characteristic
146	C₅₉×#465	C₂²	1	1	yes	characteristic
147	C₅₉×#465	C₂²	1	1	yes	characteristic
148	C₅₉×#465	C₂²	1	1	yes	characteristic
149	C₅₉×#464	C₂²	1	1	yes	characteristic
150	C₅₉×#464	C₂²	1	1	yes	characteristic
151	C₅₉×#464	C₂²	1	1	yes	characteristic
152	C₅₉×#464	C₂²	1	1	yes	characteristic
153	C₅₉×#462	C₂²	1	1	yes	characteristic
154	C₅₉×#462	C₂²	1	1	yes	characteristic
155	C₅₉×#462	C₂²	1	1	yes	characteristic
156	C₅₉×#462	C₂²	1	1	yes	characteristic
157	C₅₉×#462	C₂²	1	1	yes	characteristic
158	C₅₉×#461	C₂²	1	1	yes	characteristic
159	C₅₉×#452	C₂²	1	1	yes	characteristic
160	C₅₉×#452	C₂²	1	1	yes	characteristic
161	C₅₉×#451	C₂²	1	1	yes	characteristic
162	C₅₉×#451	C₂²	1	1	yes	characteristic
163	C₅₉×#451	C₂²	1	1	yes	characteristic
164	C₅₉×#451	C₂²	1	1	yes	characteristic
165	C₅₉×#446	C₂²	1	1	yes	characteristic
166	C₈×Q₈×C₅₉	C₂²	1	1	yes	characteristic
167	C₅₉×#441	C₂²	1	1	yes	characteristic
168	C₅₉×#441	C₂²	1	1	yes	characteristic
169	C₅₉×#441	C₂²	1	1	yes	characteristic
170	C₅₉×#440	C₂²	1	1	yes	characteristic
171	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
172	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
173	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
174	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
175	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
176	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
177	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
178	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
179	C₅₉×#436	C₂²	1	1	yes	characteristic
180	C₅₉×#435	C₂²	1	1	yes	characteristic
181	C₅₉×#435	C₂²	1	1	yes	characteristic
182	C₈×D₄×C₅₉	C₂²	1	1	yes	characteristic
183	C₈×D₄×C₅₉	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₅₉	C₂²	1	1	yes	characteristic
185	C₅₉×#433	C₂²	1	1	yes	characteristic
186	C₅₉×#433	C₂²	1	1	yes	characteristic
187	C₅₉×#431	C₂²	1	1	yes	characteristic
188	C₅₉×#428	C₂²	1	1	yes	characteristic
189	C₅₉×#428	C₂²	1	1	yes	characteristic
190	C₅₉×#427	C₂²	1	1	yes	characteristic
191	C₂×#107×C₅₉	C₂²	1	1	yes	characteristic
192	C₂×#107×C₅₉	C₂²	1	1	yes	characteristic
193	C₂×#106×C₅₉	C₂²	1	1	yes	characteristic
194	C₅₉×#424	C₂²	1	1	yes	characteristic
195	C₅₉×#424	C₂²	1	1	yes	characteristic
196	C₂×C₄⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
197	C₅₉×#419	C₂²	1	1	yes	characteristic
198	C₅₉×#417	C₂²	1	1	yes	characteristic
199	C₅₉×#416	C₂²	1	1	yes	characteristic
200	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
201	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
202	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
203	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
206	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
207	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
208	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
209	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
211	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
212	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
214	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
215	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
216	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
217	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
218	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
220	C₄⋊Q₈×C₅₉	—	2	1	no	—
221	C₄⋊Q₈×C₅₉	—	2	1	no	—
222	C₄⋊Q₈×C₅₉	—	2	1	no	—
223	C₄⋊Q₈×C₅₉	—	2	1	no	—
224	C₄⋊Q₈×C₅₉	—	2	1	no	—
225	C₄⋊Q₈×C₅₉	—	2	1	no	—
226	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
227	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
228	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
229	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
230	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
232	#126×C₅₉	—	2	1	no	—
233	#126×C₅₉	—	2	1	no	—
234	#126×C₅₉	—	2	1	no	—
235	#126×C₅₉	—	2	1	no	—
236	#126×C₅₉	—	2	1	no	—
237	#126×C₅₉	—	2	1	no	—
238	#126×C₅₉	—	2	1	no	—
239	#126×C₅₉	—	2	1	no	—
240	#126×C₅₉	—	2	1	no	—
241	#126×C₅₉	—	2	1	no	—
242	#126×C₅₉	—	2	1	no	—
243	#126×C₅₉	—	2	1	no	—
244	#126×C₅₉	—	2	1	no	—
245	#126×C₅₉	—	2	1	no	—
246	#126×C₅₉	—	2	1	no	—
247	#126×C₅₉	—	2	1	no	—
248	#126×C₅₉	D₄	1	1	yes	characteristic
249	#126×C₅₉	D₄	1	1	yes	characteristic
250	#125×C₅₉	—	2	1	no	—
251	#125×C₅₉	—	2	1	no	—
252	#125×C₅₉	—	2	1	no	—
253	#125×C₅₉	—	2	1	no	—
254	#125×C₅₉	—	2	1	no	—
255	#125×C₅₉	—	2	1	no	—
256	#125×C₅₉	—	2	1	no	—
257	#125×C₅₉	—	2	1	no	—
258	#125×C₅₉	—	2	1	no	—
259	#125×C₅₉	—	2	1	no	—
260	#125×C₅₉	—	2	1	no	—
261	#125×C₅₉	—	2	1	no	—
262	#125×C₅₉	—	2	1	no	—
263	#125×C₅₉	—	2	1	no	—
264	#125×C₅₉	—	2	1	no	—
265	#125×C₅₉	—	2	1	no	—
266	#125×C₅₉	—	2	1	no	—
267	#125×C₅₉	—	2	1	no	—
268	#125×C₅₉	—	2	1	no	—
269	#125×C₅₉	—	2	1	no	—
270	#125×C₅₉	—	2	1	no	—
271	#125×C₅₉	—	2	1	no	—
272	#125×C₅₉	—	2	1	no	—
273	#125×C₅₉	—	2	1	no	—
274	#125×C₅₉	—	2	1	no	—
275	#125×C₅₉	D₄	1	1	yes	characteristic
276	#125×C₅₉	C₂³	1	1	yes	characteristic
277	#125×C₅₉	C₂³	1	1	yes	characteristic
278	#125×C₅₉	C₂³	1	1	yes	characteristic
279	#125×C₅₉	C₂³	1	1	yes	characteristic
280	#125×C₅₉	C₂³	1	1	yes	characteristic
281	#125×C₅₉	C₂³	1	1	yes	characteristic
282	#125×C₅₉	C₂³	1	1	yes	characteristic
283	#125×C₅₉	C₂³	1	1	yes	characteristic
284	#124×C₅₉	—	2	1	no	—
285	#124×C₅₉	—	2	1	no	—
286	#124×C₅₉	—	2	1	no	—
287	#124×C₅₉	D₄	1	1	yes	characteristic
288	#124×C₅₉	C₂³	1	1	yes	characteristic
289	#124×C₅₉	C₂³	1	1	yes	characteristic
290	#123×C₅₉	—	2	1	no	—
291	#123×C₅₉	—	2	1	no	—
292	#123×C₅₉	—	2	1	no	—
293	#123×C₅₉	—	2	1	no	—
294	#123×C₅₉	—	2	1	no	—
295	#123×C₅₉	—	2	1	no	—
296	#123×C₅₉	—	2	1	no	—
297	#123×C₅₉	—	2	1	no	—
298	#123×C₅₉	D₄	1	1	yes	characteristic
299	#123×C₅₉	D₄	1	1	yes	characteristic
300	C₂²⋊Q₈×C₅₉	—	2	1	no	—
301	C₂²⋊Q₈×C₅₉	—	2	1	no	—
302	C₂²⋊Q₈×C₅₉	—	2	1	no	—
303	C₂²⋊Q₈×C₅₉	—	2	1	no	—
304	C₂²⋊Q₈×C₅₉	—	2	1	no	—
305	C₂²⋊Q₈×C₅₉	—	2	1	no	—
306	C₂²⋊Q₈×C₅₉	—	2	1	no	—
307	C₂²⋊Q₈×C₅₉	—	2	1	no	—
308	C₂²⋊Q₈×C₅₉	—	2	1	no	—
309	C₂²⋊Q₈×C₅₉	—	2	1	no	—
310	C₂²⋊Q₈×C₅₉	—	2	1	no	—
311	C₂²⋊Q₈×C₅₉	—	2	1	no	—
312	C₂²⋊Q₈×C₅₉	—	2	1	no	—
313	C₂²⋊Q₈×C₅₉	—	2	1	no	—
314	C₂²⋊Q₈×C₅₉	—	2	1	no	—
315	C₂²⋊Q₈×C₅₉	—	2	1	no	—
316	C₂²⋊Q₈×C₅₉	—	2	1	no	—
317	C₂²⋊Q₈×C₅₉	D₄	1	1	yes	characteristic
318	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
319	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
320	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
321	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
322	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
323	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
324	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
325	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
326	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
327	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
328	#121×C₅₉	—	2	1	no	—
329	#121×C₅₉	—	2	1	no	—
330	#121×C₅₉	—	2	1	no	—
331	#121×C₅₉	D₄	1	1	yes	characteristic
332	#121×C₅₉	C₂³	1	1	yes	characteristic
333	#121×C₅₉	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₅₉	—	2	1	no	—
335	C₄×Q₈×C₅₉	—	2	1	no	—
336	C₄×Q₈×C₅₉	—	2	1	no	—
337	C₄×Q₈×C₅₉	—	2	1	no	—
338	C₄×Q₈×C₅₉	—	2	1	no	—
339	C₄×Q₈×C₅₉	—	2	1	no	—
340	C₄×Q₈×C₅₉	—	2	1	no	—
341	C₄×Q₈×C₅₉	—	2	1	no	—
342	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₅₉	—	2	1	no	—
358	C₄×D₄×C₅₉	—	2	1	no	—
359	C₄×D₄×C₅₉	—	2	1	no	—
360	C₄×D₄×C₅₉	—	2	1	no	—
361	C₄×D₄×C₅₉	—	2	1	no	—
362	C₄×D₄×C₅₉	—	2	1	no	—
363	C₄×D₄×C₅₉	—	2	1	no	—
364	C₄×D₄×C₅₉	—	2	1	no	—
365	C₄×D₄×C₅₉	—	2	1	no	—
366	C₄×D₄×C₅₉	—	2	1	no	—
367	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
372	#117×C₅₉	—	2	1	no	—
373	#117×C₅₉	—	2	1	no	—
374	#117×C₅₉	—	2	1	no	—
375	#117×C₅₉	—	2	1	no	—
376	#117×C₅₉	—	2	1	no	—
377	#117×C₅₉	—	2	1	no	—
378	#117×C₅₉	—	2	1	no	—
379	#117×C₅₉	—	2	1	no	—
380	#117×C₅₉	—	2	1	no	—
381	#117×C₅₉	—	2	1	no	—
382	#117×C₅₉	—	2	1	no	—
383	#117×C₅₉	C₂³	1	1	yes	characteristic
384	#117×C₅₉	C₂³	1	1	yes	characteristic
385	#117×C₅₉	C₂³	1	1	yes	characteristic
386	#117×C₅₉	C₂³	1	1	yes	characteristic
387	#117×C₅₉	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
389	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
390	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
391	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
392	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
398	C₂×C₄²×C₅₉	—	2	1	no	—
399	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
400	#107×C₅₉	C₂³	1	1	yes	characteristic
401	#107×C₅₉	C₂³	1	1	yes	characteristic
402	#107×C₅₉	C₂³	1	1	yes	characteristic
403	#107×C₅₉	C₂³	1	1	yes	characteristic
404	#107×C₅₉	C₂³	1	1	yes	characteristic
405	#107×C₅₉	C₂³	1	1	yes	characteristic
406	#107×C₅₉	C₂³	1	1	yes	characteristic
407	#107×C₅₉	C₂³	1	1	yes	characteristic
408	#107×C₅₉	C₂³	1	1	yes	characteristic
409	#107×C₅₉	C₂³	1	1	yes	characteristic
410	#107×C₅₉	C₂³	1	1	yes	characteristic
411	#107×C₅₉	C₂³	1	1	yes	characteristic
412	#107×C₅₉	C₂³	1	1	yes	characteristic
413	#107×C₅₉	C₂³	1	1	yes	characteristic
414	#106×C₅₉	C₂³	1	1	yes	characteristic
415	#106×C₅₉	C₂³	1	1	yes	characteristic
416	#106×C₅₉	C₂³	1	1	yes	characteristic
417	#106×C₅₉	C₂³	1	1	yes	characteristic
418	#106×C₅₉	C₂³	1	1	yes	characteristic
419	#106×C₅₉	C₂³	1	1	yes	characteristic
420	#106×C₅₉	C₂³	1	1	yes	characteristic
421	#106×C₅₉	C₂³	1	1	yes	characteristic
422	#106×C₅₉	C₂³	1	1	yes	characteristic
423	#106×C₅₉	C₂³	1	1	yes	characteristic
424	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
425	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
430	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
433	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
434	#103×C₅₉	C₂³	1	1	yes	characteristic
435	#103×C₅₉	C₂³	1	1	yes	characteristic
436	#103×C₅₉	C₂³	1	1	yes	characteristic
437	#103×C₅₉	C₂³	1	1	yes	characteristic
438	#103×C₅₉	C₂³	1	1	yes	characteristic
439	#103×C₅₉	C₂³	1	1	yes	characteristic
440	#103×C₅₉	C₂³	1	1	yes	characteristic
441	#103×C₅₉	C₂³	1	1	yes	characteristic
442	#103×C₅₉	C₂³	1	1	yes	characteristic
443	#103×C₅₉	C₂³	1	1	yes	characteristic
444	#103×C₅₉	C₂³	1	1	yes	characteristic
445	#103×C₅₉	C₂³	1	1	yes	characteristic
446	#103×C₅₉	C₂³	1	1	yes	characteristic
447	#103×C₅₉	C₂³	1	1	yes	characteristic
448	#103×C₅₉	C₂³	1	1	yes	characteristic
449	#103×C₅₉	C₂³	1	1	yes	characteristic
450	#103×C₅₉	C₂³	1	1	yes	characteristic
451	#103×C₅₉	C₂³	1	1	yes	characteristic
452	#103×C₅₉	C₂³	1	1	yes	characteristic
453	#103×C₅₉	C₂³	1	1	yes	characteristic
454	#103×C₅₉	C₂³	1	1	yes	characteristic
455	#103×C₅₉	C₂³	1	1	yes	characteristic
456	#103×C₅₉	C₂³	1	1	yes	characteristic
457	#103×C₅₉	C₂³	1	1	yes	characteristic
458	#103×C₅₉	C₂³	1	1	yes	characteristic
459	#103×C₅₉	C₂³	1	1	yes	characteristic
460	#102×C₅₉	C₂³	1	1	yes	characteristic
461	#102×C₅₉	C₂³	1	1	yes	characteristic
462	#102×C₅₉	C₂³	1	1	yes	characteristic
463	#102×C₅₉	C₂³	1	1	yes	characteristic
464	#102×C₅₉	C₂³	1	1	yes	characteristic
465	#102×C₅₉	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
472	#97×C₅₉	C₂³	1	1	yes	characteristic
473	#97×C₅₉	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
478	#41×C₅₉	—	2	2	no	—
479	#41×C₅₉	—	4	1	no	—
480	C₂×Q₈×C₅₉	—	2	1	no	—
481	C₂×Q₈×C₅₉	—	2	1	no	—
482	C₂×Q₈×C₅₉	—	2	1	no	—
483	C₂×Q₈×C₅₉	—	2	1	no	—
484	C₂×Q₈×C₅₉	—	2	1	no	—
485	C₂×Q₈×C₅₉	—	2	1	no	—
486	C₂×Q₈×C₅₉	—	2	2	no	—
487	C₂×Q₈×C₅₉	—	2	2	no	—
488	C₂×Q₈×C₅₉	—	4	1	no	—
489	C₂×Q₈×C₅₉	—	4	1	no	—
490	C₂×Q₈×C₅₉	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₅₉	—	2	1	no	—
497	C₂×D₄×C₅₉	—	2	1	no	—
498	C₂×D₄×C₅₉	—	2	1	no	—
499	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
500	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
501	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
502	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₅₉	—	2	1	no	—
504	C₂²×C₄×C₅₉	—	2	1	no	—
505	C₂²×C₄×C₅₉	—	2	1	no	—
506	C₂²×C₄×C₅₉	—	2	1	no	—
507	C₂²×C₄×C₅₉	—	2	1	no	—
508	C₂²×C₄×C₅₉	—	2	1	no	—
509	C₂²×C₄×C₅₉	—	2	1	no	—
510	C₂²×C₄×C₅₉	—	2	1	no	—
511	C₂²×C₄×C₅₉	—	2	1	no	—
512	C₂²×C₄×C₅₉	—	2	1	no	—
513	C₂²×C₄×C₅₉	—	2	1	no	—
514	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
516	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
519	Q₁₆×C₅₉	—	2	2	no	—
520	Q₁₆×C₅₉	—	2	2	no	—
521	Q₁₆×C₅₉	—	4	1	no	—
522	Q₁₆×C₅₉	—	4	1	no	—
523	Q₁₆×C₅₉	—	4	1	no	—
524	Q₁₆×C₅₉	—	4	1	no	—
525	SD₁₆×C₅₉	—	4	1	no	—
526	SD₁₆×C₅₉	—	4	1	no	—
527	M₁₆×C₅₉	—	4	1	no	—
528	M₁₆×C₅₉	—	4	1	no	—
529	C₂×C₈×C₅₉	—	4	1	no	—
530	C₂×C₈×C₅₉	—	4	1	no	—
531	C₂×C₈×C₅₉	—	4	1	no	—
532	C₂×C₈×C₅₉	—	4	1	no	—
533	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
534	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
535	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
536	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
537	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
538	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
539	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
540	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
541	C₄⋊C₄×C₅₉	—	2	1	no	—
542	C₄⋊C₄×C₅₉	—	2	1	no	—
543	C₄⋊C₄×C₅₉	—	2	1	no	—
544	C₄⋊C₄×C₅₉	—	2	1	no	—
545	C₄⋊C₄×C₅₉	—	2	1	no	—
546	C₄⋊C₄×C₅₉	—	2	1	no	—
547	C₄⋊C₄×C₅₉	—	2	1	no	—
548	C₄⋊C₄×C₅₉	—	2	1	no	—
549	C₄⋊C₄×C₅₉	—	2	1	no	—
550	C₄⋊C₄×C₅₉	—	2	1	no	—
551	C₄⋊C₄×C₅₉	—	2	1	no	—
552	C₄⋊C₄×C₅₉	—	2	1	no	—
553	C₄⋊C₄×C₅₉	—	2	1	no	—
554	C₄⋊C₄×C₅₉	—	2	1	no	—
555	C₄⋊C₄×C₅₉	—	2	1	no	—
556	C₄⋊C₄×C₅₉	—	2	1	no	—
557	C₄⋊C₄×C₅₉	—	2	1	no	—
558	C₄⋊C₄×C₅₉	—	2	1	no	—
559	C₄⋊C₄×C₅₉	—	2	1	no	—
560	C₄⋊C₄×C₅₉	—	2	1	no	—
561	C₄⋊C₄×C₅₉	—	2	1	no	—
562	C₄⋊C₄×C₅₉	—	2	1	no	—
563	C₄⋊C₄×C₅₉	—	2	1	no	—
564	C₄⋊C₄×C₅₉	—	2	1	no	—
565	C₄⋊C₄×C₅₉	—	2	1	no	—
566	C₄⋊C₄×C₅₉	—	2	1	no	—
567	C₄⋊C₄×C₅₉	—	2	1	no	—
568	C₄⋊C₄×C₅₉	—	2	1	no	—
569	C₄⋊C₄×C₅₉	—	2	1	no	—
570	C₄⋊C₄×C₅₉	—	2	1	no	—
571	C₄⋊C₄×C₅₉	—	2	1	no	—
572	C₄⋊C₄×C₅₉	—	2	1	no	—
573	C₄⋊C₄×C₅₉	—	2	1	no	—
574	C₄⋊C₄×C₅₉	—	2	1	no	—
575	C₄⋊C₄×C₅₉	—	2	1	no	—
576	C₄⋊C₄×C₅₉	—	2	1	no	—
577	C₄⋊C₄×C₅₉	—	2	1	no	—
578	C₄⋊C₄×C₅₉	—	2	1	no	—
579	C₄⋊C₄×C₅₉	—	2	1	no	—
580	C₄⋊C₄×C₅₉	—	2	1	no	—
581	C₄⋊C₄×C₅₉	—	2	1	no	—
582	C₄⋊C₄×C₅₉	—	2	1	no	—
583	C₄⋊C₄×C₅₉	—	2	1	no	—
584	C₄⋊C₄×C₅₉	—	2	1	no	—
585	C₄⋊C₄×C₅₉	—	2	1	no	—
586	C₄⋊C₄×C₅₉	—	2	1	no	—
587	C₄⋊C₄×C₅₉	—	2	1	no	—
588	C₄⋊C₄×C₅₉	—	2	1	no	—
589	C₄⋊C₄×C₅₉	—	2	1	no	—
590	C₄⋊C₄×C₅₉	—	2	1	no	—
591	C₄⋊C₄×C₅₉	—	2	1	no	—
592	C₄⋊C₄×C₅₉	—	2	1	no	—
593	C₄⋊C₄×C₅₉	—	2	1	no	—
594	C₄⋊C₄×C₅₉	—	2	1	no	—
595	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
596	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
597	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
598	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
606	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
615	C₂²⋊C₄×C₅₉	—	2	1	no	—
616	C₂²⋊C₄×C₅₉	—	2	1	no	—
617	C₂²⋊C₄×C₅₉	—	2	1	no	—
618	C₂²⋊C₄×C₅₉	—	2	1	no	—
619	C₂²⋊C₄×C₅₉	—	2	1	no	—
620	C₂²⋊C₄×C₅₉	—	2	1	no	—
621	C₂²⋊C₄×C₅₉	—	2	1	no	—
622	C₂²⋊C₄×C₅₉	—	2	1	no	—
623	C₂²⋊C₄×C₅₉	—	2	1	no	—
624	C₂²⋊C₄×C₅₉	—	2	1	no	—
625	C₂²⋊C₄×C₅₉	—	2	1	no	—
626	C₂²⋊C₄×C₅₉	—	2	1	no	—
627	C₂²⋊C₄×C₅₉	—	2	1	no	—
628	C₂²⋊C₄×C₅₉	—	2	1	no	—
629	C₂²⋊C₄×C₅₉	—	2	1	no	—
630	C₂²⋊C₄×C₅₉	—	2	1	no	—
631	C₂²⋊C₄×C₅₉	—	2	1	no	—
632	C₂²⋊C₄×C₅₉	—	2	1	no	—
633	C₂²⋊C₄×C₅₉	—	2	1	no	—
634	C₂²⋊C₄×C₅₉	—	2	1	no	—
635	C₂²⋊C₄×C₅₉	—	2	1	no	—
636	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
637	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
638	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
639	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
640	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
641	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
646	C₄²×C₅₉	—	2	1	no	—
647	C₄²×C₅₉	—	2	1	no	—
648	C₄²×C₅₉	—	2	1	no	—
649	C₄²×C₅₉	—	2	1	no	—
650	C₄²×C₅₉	—	2	1	no	—
651	C₄²×C₅₉	—	2	1	no	—
652	C₄²×C₅₉	—	2	1	no	—
653	C₄²×C₅₉	—	2	1	no	—
654	C₄²×C₅₉	—	2	1	no	—
655	C₄²×C₅₉	—	2	1	no	—
656	C₄²×C₅₉	—	2	1	no	—
657	C₄²×C₅₉	—	2	1	no	—
658	C₄²×C₅₉	—	2	1	no	—
659	C₄²×C₅₉	—	2	1	no	—
660	C₄²×C₅₉	—	2	1	no	—
661	C₄²×C₅₉	—	2	1	no	—
662	C₄²×C₅₉	—	2	1	no	—
663	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
666	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
667	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
668	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
669	C₂³×C₅₉	—	2	1	no	—
670	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
671	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
672	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
673	Q₈×C₅₉	—	2	1	no	—
674	Q₈×C₅₉	—	2	1	no	—
675	Q₈×C₅₉	—	2	1	no	—
676	Q₈×C₅₉	—	2	1	no	—
677	Q₈×C₅₉	—	2	1	no	—
678	Q₈×C₅₉	—	2	1	no	—
679	Q₈×C₅₉	—	2	1	no	—
680	Q₈×C₅₉	—	2	1	no	—
681	Q₈×C₅₉	—	2	1	no	—
682	Q₈×C₅₉	—	4	1	no	—
683	Q₈×C₅₉	—	4	2	no	—
684	Q₈×C₅₉	—	4	2	no	—
685	Q₈×C₅₉	—	8	1	no	—
686	Q₈×C₅₉	—	8	1	no	—
687	Q₈×C₅₉	—	8	1	no	—
688	Q₈×C₅₉	—	8	1	no	—
689	Q₈×C₅₉	2₋¹⁺⁴	1	2	yes	—
690	D₄×C₅₉	—	2	2	no	—
691	D₄×C₅₉	—	2	2	no	—
692	D₄×C₅₉	—	2	1	no	—
693	D₄×C₅₉	—	2	1	no	—
694	D₄×C₅₉	—	4	1	no	—
695	D₄×C₅₉	—	4	2	no	—
696	D₄×C₅₉	—	4	2	no	—
697	D₄×C₅₉	—	8	1	no	—
698	C₂×C₄×C₅₉	—	2	2	no	—
699	C₂×C₄×C₅₉	—	2	1	no	—
700	C₂×C₄×C₅₉	—	2	1	no	—
701	C₂×C₄×C₅₉	—	2	1	no	—
702	C₂×C₄×C₅₉	—	2	1	no	—
703	C₂×C₄×C₅₉	—	2	1	no	—
704	C₂×C₄×C₅₉	—	2	1	no	—
705	C₂×C₄×C₅₉	—	2	1	no	—
706	C₂×C₄×C₅₉	—	2	1	no	—
707	C₂×C₄×C₅₉	—	2	1	no	—
708	C₂×C₄×C₅₉	—	2	1	no	—
709	C₂×C₄×C₅₉	—	2	1	no	—
710	C₂×C₄×C₅₉	—	2	1	no	—
711	C₂×C₄×C₅₉	—	2	1	no	—
712	C₂×C₄×C₅₉	—	2	1	no	—
713	C₂×C₄×C₅₉	—	2	1	no	—
714	C₂×C₄×C₅₉	—	2	1	no	—
715	C₂×C₄×C₅₉	—	2	1	no	—
716	C₂×C₄×C₅₉	—	2	1	no	—
717	C₂×C₄×C₅₉	—	2	1	no	—
718	C₂×C₄×C₅₉	—	2	1	no	—
719	C₂×C₄×C₅₉	—	2	1	no	—
720	C₂×C₄×C₅₉	—	4	1	no	—
721	C₂×C₄×C₅₉	—	4	2	no	—
722	C₂×C₄×C₅₉	—	4	2	no	—
723	C₂×C₄×C₅₉	—	4	2	no	—
724	C₂×C₄×C₅₉	—	4	2	no	—
725	C₂×C₄×C₅₉	—	8	1	no	—
726	C₂×C₄×C₅₉	—	8	1	no	—
727	C₂×C₄×C₅₉	—	8	1	no	—
728	C₂×C₄×C₅₉	—	8	1	no	—
729	C₂×C₄×C₅₉	—	8	1	no	—
730	C₂×C₄×C₅₉	—	8	1	no	—
731	C₂×C₄×C₅₉	—	8	1	no	—
732	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
733	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
734	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
735	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
736	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
737	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
738	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
739	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
740	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
741	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
742	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
743	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
744	C₈×C₅₉	—	2	1	no	—
745	C₈×C₅₉	—	2	1	no	—
746	C₈×C₅₉	—	2	1	no	—
747	C₈×C₅₉	—	2	1	no	—
748	C₈×C₅₉	—	2	1	no	—
749	C₈×C₅₉	—	2	1	no	—
750	C₈×C₅₉	—	2	1	no	—
751	C₈×C₅₉	—	2	1	no	—
752	#62214	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
753	C₂²×C₅₉	—	2	1	no	—
754	C₂²×C₅₉	—	2	1	no	—
755	C₂²×C₅₉	—	2	1	no	—
756	C₂²×C₅₉	—	2	1	no	—
757	C₂²×C₅₉	—	2	1	no	—
758	C₂²×C₅₉	—	2	1	no	—
759	C₂²×C₅₉	—	2	1	no	—
760	C₂²×C₅₉	—	2	1	no	—
761	C₂²×C₅₉	—	4	1	no	—
762	C₂²×C₅₉	—	4	1	no	—
763	C₂²×C₅₉	—	4	1	no	—
764	C₂²×C₅₉	#578	1	2	yes	—
765	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
766	C₄×C₅₉	—	2	1	no	—
767	C₄×C₅₉	—	2	1	no	—
768	C₄×C₅₉	—	2	1	no	—
769	C₄×C₅₉	—	2	1	no	—
770	C₄×C₅₉	—	2	1	no	—
771	C₄×C₅₉	—	2	1	no	—
772	C₄×C₅₉	—	2	1	no	—
773	C₄×C₅₉	—	2	2	no	—
774	C₄×C₅₉	—	2	1	no	—
775	C₄×C₅₉	—	2	1	no	—
776	C₄×C₅₉	—	2	1	no	—
777	C₄×C₅₉	—	2	1	no	—
778	C₄×C₅₉	—	4	1	no	—
779	C₄×C₅₉	—	4	1	no	—
780	C₄×C₅₉	—	4	1	no	—
781	C₄×C₅₉	—	4	1	no	—
782	C₄×C₅₉	—	4	1	no	—
783	C₄×C₅₉	—	4	1	no	—
784	C₄×C₅₉	—	4	1	no	—
785	C₄×C₅₉	—	4	1	no	—
786	C₄×C₅₉	—	4	1	no	—
787	C₄×C₅₉	—	4	1	no	—
788	C₄×C₅₉	—	4	1	no	—
789	C₄×C₅₉	—	4	1	no	—
790	C₄×C₅₉	—	4	1	no	—
791	C₄×C₅₉	—	4	1	no	—
792	C₄×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
793	C₄×C₅₉	#585	1	1	yes	characteristic
794	#3563	C₂×C₅₉	1	1	yes	characteristic, complemented
795	#3516	C₂×C₅₉	1	1	yes	characteristic
796	#3390	C₂×C₅₉	1	1	yes	characteristic, complemented
797	#3383	C₂×C₅₉	1	1	yes	characteristic, complemented
798	#3377	C₂×C₅₉	1	1	yes	characteristic, complemented
799	#3364	C₂×C₅₉	1	1	yes	characteristic, complemented
800	#3352	C₂×C₅₉	1	1	yes	characteristic, complemented
801	#3346	C₂×C₅₉	1	1	yes	characteristic, complemented
802	#3344	C₂×C₅₉	1	1	yes	characteristic, complemented
803	#3338	C₂×C₅₉	1	1	yes	characteristic, complemented
804	#3337	C₂×C₅₉	1	1	yes	characteristic, complemented
805	#3336	C₂×C₅₉	1	1	yes	characteristic, complemented
806	#3327	C₂×C₅₉	1	1	yes	characteristic, complemented
807	#3316	C₂×C₅₉	1	1	yes	characteristic, complemented
808	#3312	C₂×C₅₉	1	1	yes	characteristic, complemented
809	#3300	C₂×C₅₉	1	1	yes	characteristic, complemented
810	#3300	C₂×C₅₉	1	1	yes	characteristic, complemented
811	#3299	C₂×C₅₉	1	1	yes	characteristic, complemented
812	#3261	C₂×C₅₉	1	1	yes	characteristic, complemented
813	#3258	C₂×C₅₉	1	1	yes	characteristic, complemented
814	#3248	C₂×C₅₉	1	1	yes	characteristic, complemented
815	#3243	C₂×C₅₉	1	1	yes	characteristic, complemented
816	#3242	C₂×C₅₉	1	1	yes	characteristic, complemented
817	#3232	C₂×C₅₉	1	1	yes	characteristic, complemented
818	#3127	C₂×C₅₉	1	1	yes	characteristic, complemented
819	#3120	C₂×C₅₉	1	1	yes	characteristic, complemented
820	#3104	C₂×C₅₉	1	1	yes	characteristic, complemented
821	#3083	C₂×C₅₉	1	1	yes	characteristic, complemented
822	#3082	C₂×C₅₉	1	1	yes	characteristic, complemented
823	C₂×#479	C₂×C₅₉	1	1	yes	characteristic, complemented
824	#2994	C₂×C₅₉	1	1	yes	characteristic, complemented
825	C₂×C₅₉	—	2	2	no	—
826	C₂×C₅₉	—	4	1	no	—
827	C₂×C₅₉	—	4	1	no	—
828	C₂×C₅₉	—	8	1	no	—
829	C₂×C₅₉	#3489	1	1	yes	characteristic
830	C₂×C₅₉	C₂×#578	1	1	yes	characteristic
831	C₂×C₅₉	#3584	1	1	yes	characteristic
832	#564	—	2	1	no	—
833	#563	—	2	1	no	—
834	#557	C₂²×C₅₉	1	1	yes	characteristic
835	#557	C₂²×C₅₉	1	1	yes	characteristic
836	#557	C₂²×C₅₉	1	1	yes	characteristic
837	#556	—	2	1	no	—
838	#556	C₂²×C₅₉	1	1	yes	characteristic
839	#554	—	2	1	no	—
840	#554	C₂²×C₅₉	1	1	yes	characteristic
841	#554	C₂²×C₅₉	1	1	yes	characteristic
842	#554	C₂²×C₅₉	1	1	yes	characteristic
843	#553	—	2	1	no	—
844	#553	C₂²×C₅₉	1	1	yes	characteristic
845	#552	—	2	1	no	—
846	#552	—	2	1	no	—
847	#552	—	2	1	no	—
848	#552	C₂²×C₅₉	1	1	yes	characteristic
849	#552	C₂²×C₅₉	1	1	yes	characteristic
850	#552	C₂²×C₅₉	1	1	yes	characteristic
851	#552	C₂²×C₅₉	1	1	yes	characteristic
852	#552	C₂²×C₅₉	1	1	yes	characteristic
853	D₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
854	#548	C₂²×C₅₉	1	1	yes	characteristic
855	#548	C₂²×C₅₉	1	1	yes	characteristic
856	#544	—	2	1	no	—
857	#544	C₂²×C₅₉	1	1	yes	characteristic
858	#544	C₂²×C₅₉	1	1	yes	characteristic
859	#542	—	2	1	no	—
860	#542	C₂²×C₅₉	1	1	yes	characteristic
861	#541	—	2	1	no	—
862	#541	—	2	1	no	—
863	#541	—	2	1	no	—
864	#541	C₂²×C₅₉	1	1	yes	characteristic
865	#541	C₂²×C₅₉	1	1	yes	characteristic
866	#541	C₂²×C₅₉	1	1	yes	characteristic
867	#539	—	2	1	no	—
868	#533	C₂²×C₅₉	1	1	yes	characteristic
869	#529	—	2	1	no	—
870	#529	—	2	1	no	—
871	#529	C₂²×C₅₉	1	1	yes	characteristic
872	#529	C₂²×C₅₉	1	1	yes	characteristic
873	C₂×#125	C₂²×C₅₉	1	1	yes	characteristic
874	#520	C₂²×C₅₉	1	1	yes	characteristic
875	#519	C₂²×C₅₉	1	1	yes	characteristic
876	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
877	#501	C₂²×C₅₉	1	1	yes	characteristic
878	#501	C₂²×C₅₉	1	1	yes	characteristic
879	#500	C₂²×C₅₉	1	1	yes	characteristic
880	#499	C₂²×C₅₉	1	1	yes	characteristic
881	#499	C₂²×C₅₉	1	1	yes	characteristic
882	#499	C₂²×C₅₉	1	1	yes	characteristic
883	#491	C₂²×C₅₉	1	1	yes	characteristic
884	#489	C₂²×C₅₉	1	1	yes	characteristic
885	#488	C₂²×C₅₉	1	1	yes	characteristic
886	#488	C₂²×C₅₉	1	1	yes	characteristic
887	#488	C₂²×C₅₉	1	1	yes	characteristic
888	#487	C₂²×C₅₉	1	1	yes	characteristic
889	#485	C₂²×C₅₉	1	1	yes	characteristic
890	#485	C₂²×C₅₉	1	1	yes	characteristic
891	#485	C₂²×C₅₉	1	1	yes	characteristic
892	#485	C₂²×C₅₉	1	1	yes	characteristic
893	#485	C₂²×C₅₉	1	1	yes	characteristic
894	#484	C₂²×C₅₉	1	1	yes	characteristic
895	#484	C₂²×C₅₉	1	1	yes	characteristic
896	#484	C₂²×C₅₉	1	1	yes	characteristic
897	#484	C₂²×C₅₉	1	1	yes	characteristic
898	#484	C₂²×C₅₉	1	1	yes	characteristic
899	#484	C₂²×C₅₉	1	1	yes	characteristic
900	#483	C₂²×C₅₉	1	1	yes	characteristic
901	#483	C₂²×C₅₉	1	1	yes	characteristic
902	#483	C₂²×C₅₉	1	1	yes	characteristic
903	#482	C₂²×C₅₉	1	1	yes	characteristic
904	#481	C₂²×C₅₉	1	1	yes	characteristic
905	#480	C₂²×C₅₉	1	1	yes	characteristic
906	#480	C₂²×C₅₉	1	1	yes	characteristic
907	#479	C₂²×C₅₉	1	1	yes	characteristic
908	#479	C₂²×C₅₉	1	1	yes	characteristic
909	#479	C₂²×C₅₉	1	1	yes	characteristic
910	#479	C₂²×C₅₉	1	1	yes	characteristic
911	#479	C₂²×C₅₉	1	1	yes	characteristic
912	#479	C₂²×C₅₉	1	1	yes	characteristic
913	#479	C₂²×C₅₉	1	1	yes	characteristic
914	#479	C₂²×C₅₉	1	1	yes	characteristic
915	#479	C₂²×C₅₉	1	1	yes	characteristic
916	#479	C₂²×C₅₉	1	1	yes	characteristic
917	#479	C₂²×C₅₉	1	1	yes	characteristic
918	#479	C₂²×C₅₉	1	1	yes	characteristic
919	#479	C₂²×C₅₉	1	1	yes	characteristic
920	#479	C₂²×C₅₉	1	1	yes	characteristic
921	#479	C₂²×C₅₉	1	1	yes	characteristic
922	#479	C₂²×C₅₉	1	1	yes	characteristic
923	#479	C₂²×C₅₉	1	1	yes	characteristic
924	#478	C₂²×C₅₉	1	1	yes	characteristic
925	#478	C₂²×C₅₉	1	1	yes	characteristic
926	#478	C₂²×C₅₉	1	1	yes	characteristic
927	#477	C₂²×C₅₉	1	1	yes	characteristic
928	#477	C₂²×C₅₉	1	1	yes	characteristic
929	#477	C₂²×C₅₉	1	1	yes	characteristic
930	#477	C₂²×C₅₉	1	1	yes	characteristic
931	#477	C₂²×C₅₉	1	1	yes	characteristic
932	#475	C₂²×C₅₉	1	1	yes	characteristic
933	#475	C₂²×C₅₉	1	1	yes	characteristic
934	#475	C₂²×C₅₉	1	1	yes	characteristic
935	#474	C₂²×C₅₉	1	1	yes	characteristic
936	#474	C₂²×C₅₉	1	1	yes	characteristic
937	#470	C₂²×C₅₉	1	1	yes	characteristic
938	#470	C₂²×C₅₉	1	1	yes	characteristic
939	#470	C₂²×C₅₉	1	1	yes	characteristic
940	#468	C₂²×C₅₉	1	1	yes	characteristic
941	#467	C₂²×C₅₉	1	1	yes	characteristic
942	#467	C₂²×C₅₉	1	1	yes	characteristic
943	#467	C₂²×C₅₉	1	1	yes	characteristic
944	#467	C₂²×C₅₉	1	1	yes	characteristic
945	#467	C₂²×C₅₉	1	1	yes	characteristic
946	#465	C₂²×C₅₉	1	1	yes	characteristic
947	#465	C₂²×C₅₉	1	1	yes	characteristic
948	#465	C₂²×C₅₉	1	1	yes	characteristic
949	#464	C₂²×C₅₉	1	1	yes	characteristic
950	#464	C₂²×C₅₉	1	1	yes	characteristic
951	#464	C₂²×C₅₉	1	1	yes	characteristic
952	#464	C₂²×C₅₉	1	1	yes	characteristic
953	#462	C₂²×C₅₉	1	1	yes	characteristic
954	#462	C₂²×C₅₉	1	1	yes	characteristic
955	#462	C₂²×C₅₉	1	1	yes	characteristic
956	#462	C₂²×C₅₉	1	1	yes	characteristic
957	#462	C₂²×C₅₉	1	1	yes	characteristic
958	#461	C₂²×C₅₉	1	1	yes	characteristic
959	#452	C₂²×C₅₉	1	1	yes	characteristic
960	#452	C₂²×C₅₉	1	1	yes	characteristic
961	#451	C₂²×C₅₉	1	1	yes	characteristic
962	#451	C₂²×C₅₉	1	1	yes	characteristic
963	#451	C₂²×C₅₉	1	1	yes	characteristic
964	#451	C₂²×C₅₉	1	1	yes	characteristic
965	#446	C₂²×C₅₉	1	1	yes	characteristic
966	C₈×Q₈	C₂²×C₅₉	1	1	yes	characteristic
967	#441	C₂²×C₅₉	1	1	yes	characteristic
968	#441	C₂²×C₅₉	1	1	yes	characteristic
969	#441	C₂²×C₅₉	1	1	yes	characteristic
970	#440	C₂²×C₅₉	1	1	yes	characteristic
971	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
972	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
973	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
974	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
975	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
976	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
977	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
978	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
979	#436	C₂²×C₅₉	1	1	yes	characteristic
980	#435	C₂²×C₅₉	1	1	yes	characteristic
981	#435	C₂²×C₅₉	1	1	yes	characteristic
982	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
983	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
984	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
985	#433	C₂²×C₅₉	1	1	yes	characteristic
986	#433	C₂²×C₅₉	1	1	yes	characteristic
987	#431	C₂²×C₅₉	1	1	yes	characteristic
988	#428	C₂²×C₅₉	1	1	yes	characteristic
989	#428	C₂²×C₅₉	1	1	yes	characteristic
990	#427	C₂²×C₅₉	1	1	yes	characteristic
991	C₂×#107	C₂²×C₅₉	1	1	yes	characteristic
992	C₂×#107	C₂²×C₅₉	1	1	yes	characteristic
993	C₂×#106	C₂²×C₅₉	1	1	yes	characteristic
994	#424	C₂²×C₅₉	1	1	yes	characteristic
995	#424	C₂²×C₅₉	1	1	yes	characteristic
996	C₂×C₄⋊C₈	C₂²×C₅₉	1	1	yes	characteristic
997	#419	C₂²×C₅₉	1	1	yes	characteristic
998	#417	C₂²×C₅₉	1	1	yes	characteristic
999	#416	C₂²×C₅₉	1	1	yes	characteristic
1000	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
1001	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
1002	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
1003	C₅₉	#62214	1	1	yes	characteristic, direct product factor, Sylow
1004	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1005	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1006	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1007	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1008	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1009	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1010	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1011	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1012	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1013	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1014	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1015	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1016	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1017	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1018	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1019	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1020	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1021	C₄⋊Q₈	—	2	1	no	—
1022	C₄⋊Q₈	—	2	1	no	—
1023	C₄⋊Q₈	—	2	1	no	—
1024	C₄⋊Q₈	—	2	1	no	—
1025	C₄⋊Q₈	—	2	1	no	—
1026	C₄⋊Q₈	—	2	1	no	—
1027	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1028	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1029	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1030	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1031	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1032	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1033	#126	—	2	1	no	—
1034	#126	—	2	1	no	—
1035	#126	—	2	1	no	—
1036	#126	—	2	1	no	—
1037	#126	—	2	1	no	—
1038	#126	—	2	1	no	—
1039	#126	—	2	1	no	—
1040	#126	—	2	1	no	—
1041	#126	—	2	1	no	—
1042	#126	—	2	1	no	—
1043	#126	—	2	1	no	—
1044	#126	—	2	1	no	—
1045	#126	—	2	1	no	—
1046	#126	—	2	1	no	—
1047	#126	—	2	1	no	—
1048	#126	—	2	1	no	—
1049	#126	D₄×C₅₉	1	1	yes	characteristic
1050	#126	D₄×C₅₉	1	1	yes	characteristic
1051	#125	—	2	1	no	—
1052	#125	—	2	1	no	—
1053	#125	—	2	1	no	—
1054	#125	—	2	1	no	—
1055	#125	—	2	1	no	—
1056	#125	—	2	1	no	—
1057	#125	—	2	1	no	—
1058	#125	—	2	1	no	—
1059	#125	—	2	1	no	—
1060	#125	—	2	1	no	—
1061	#125	—	2	1	no	—
1062	#125	—	2	1	no	—
1063	#125	—	2	1	no	—
1064	#125	—	2	1	no	—
1065	#125	—	2	1	no	—
1066	#125	—	2	1	no	—
1067	#125	—	2	1	no	—
1068	#125	—	2	1	no	—
1069	#125	—	2	1	no	—
1070	#125	—	2	1	no	—
1071	#125	—	2	1	no	—
1072	#125	—	2	1	no	—
1073	#125	—	2	1	no	—
1074	#125	—	2	1	no	—
1075	#125	—	2	1	no	—
1076	#125	D₄×C₅₉	1	1	yes	characteristic
1077	#125	C₂³×C₅₉	1	1	yes	characteristic
1078	#125	C₂³×C₅₉	1	1	yes	characteristic
1079	#125	C₂³×C₅₉	1	1	yes	characteristic
1080	#125	C₂³×C₅₉	1	1	yes	characteristic
1081	#125	C₂³×C₅₉	1	1	yes	characteristic
1082	#125	C₂³×C₅₉	1	1	yes	characteristic
1083	#125	C₂³×C₅₉	1	1	yes	characteristic
1084	#125	C₂³×C₅₉	1	1	yes	characteristic
1085	#124	—	2	1	no	—
1086	#124	—	2	1	no	—
1087	#124	—	2	1	no	—
1088	#124	D₄×C₅₉	1	1	yes	characteristic
1089	#124	C₂³×C₅₉	1	1	yes	characteristic
1090	#124	C₂³×C₅₉	1	1	yes	characteristic
1091	#123	—	2	1	no	—
1092	#123	—	2	1	no	—
1093	#123	—	2	1	no	—
1094	#123	—	2	1	no	—
1095	#123	—	2	1	no	—
1096	#123	—	2	1	no	—
1097	#123	—	2	1	no	—
1098	#123	—	2	1	no	—
1099	#123	D₄×C₅₉	1	1	yes	characteristic
1100	#123	D₄×C₅₉	1	1	yes	characteristic
1101	C₂²⋊Q₈	—	2	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	—	2	1	no	—
1104	C₂²⋊Q₈	—	2	1	no	—
1105	C₂²⋊Q₈	—	2	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	2	1	no	—
1108	C₂²⋊Q₈	—	2	1	no	—
1109	C₂²⋊Q₈	—	2	1	no	—
1110	C₂²⋊Q₈	—	2	1	no	—
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	—	2	1	no	—
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	2	1	no	—
1115	C₂²⋊Q₈	—	2	1	no	—
1116	C₂²⋊Q₈	—	2	1	no	—
1117	C₂²⋊Q₈	—	2	1	no	—
1118	C₂²⋊Q₈	D₄×C₅₉	1	1	yes	characteristic
1119	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1120	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1121	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1122	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1123	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1124	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1125	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1126	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1127	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1128	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1129	#121	—	2	1	no	—
1130	#121	—	2	1	no	—
1131	#121	—	2	1	no	—
1132	#121	D₄×C₅₉	1	1	yes	characteristic
1133	#121	C₂³×C₅₉	1	1	yes	characteristic
1134	#121	C₂³×C₅₉	1	1	yes	characteristic
1135	C₄×Q₈	—	2	1	no	—
1136	C₄×Q₈	—	2	1	no	—
1137	C₄×Q₈	—	2	1	no	—
1138	C₄×Q₈	—	2	1	no	—
1139	C₄×Q₈	—	2	1	no	—
1140	C₄×Q₈	—	2	1	no	—
1141	C₄×Q₈	—	2	1	no	—
1142	C₄×Q₈	—	2	1	no	—
1143	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1144	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1145	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1146	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1147	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1148	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1149	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1150	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1151	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1152	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1153	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1154	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1155	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1156	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1157	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	—	2	1	no	—
1160	C₄×D₄	—	2	1	no	—
1161	C₄×D₄	—	2	1	no	—
1162	C₄×D₄	—	2	1	no	—
1163	C₄×D₄	—	2	1	no	—
1164	C₄×D₄	—	2	1	no	—
1165	C₄×D₄	—	2	1	no	—
1166	C₄×D₄	—	2	1	no	—
1167	C₄×D₄	—	2	1	no	—
1168	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1169	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1170	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1171	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1172	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1173	#117	—	2	1	no	—
1174	#117	—	2	1	no	—
1175	#117	—	2	1	no	—
1176	#117	—	2	1	no	—
1177	#117	—	2	1	no	—
1178	#117	—	2	1	no	—
1179	#117	—	2	1	no	—
1180	#117	—	2	1	no	—
1181	#117	—	2	1	no	—
1182	#117	—	2	1	no	—
1183	#117	—	2	1	no	—
1184	#117	C₂³×C₅₉	1	1	yes	characteristic
1185	#117	C₂³×C₅₉	1	1	yes	characteristic
1186	#117	C₂³×C₅₉	1	1	yes	characteristic
1187	#117	C₂³×C₅₉	1	1	yes	characteristic
1188	#117	C₂³×C₅₉	1	1	yes	characteristic
1189	C₂×C₄⋊C₄	—	2	1	no	—
1190	C₂×C₄⋊C₄	—	2	1	no	—
1191	C₂×C₄⋊C₄	—	2	1	no	—
1192	C₂×C₄⋊C₄	—	2	1	no	—
1193	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1194	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1195	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1196	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1197	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1198	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1199	C₂×C₄²	—	2	1	no	—
1200	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1201	#107	C₂³×C₅₉	1	1	yes	characteristic
1202	#107	C₂³×C₅₉	1	1	yes	characteristic
1203	#107	C₂³×C₅₉	1	1	yes	characteristic
1204	#107	C₂³×C₅₉	1	1	yes	characteristic
1205	#107	C₂³×C₅₉	1	1	yes	characteristic
1206	#107	C₂³×C₅₉	1	1	yes	characteristic
1207	#107	C₂³×C₅₉	1	1	yes	characteristic
1208	#107	C₂³×C₅₉	1	1	yes	characteristic
1209	#107	C₂³×C₅₉	1	1	yes	characteristic
1210	#107	C₂³×C₅₉	1	1	yes	characteristic
1211	#107	C₂³×C₅₉	1	1	yes	characteristic
1212	#107	C₂³×C₅₉	1	1	yes	characteristic
1213	#107	C₂³×C₅₉	1	1	yes	characteristic
1214	#107	C₂³×C₅₉	1	1	yes	characteristic
1215	#106	C₂³×C₅₉	1	1	yes	characteristic
1216	#106	C₂³×C₅₉	1	1	yes	characteristic
1217	#106	C₂³×C₅₉	1	1	yes	characteristic
1218	#106	C₂³×C₅₉	1	1	yes	characteristic
1219	#106	C₂³×C₅₉	1	1	yes	characteristic
1220	#106	C₂³×C₅₉	1	1	yes	characteristic
1221	#106	C₂³×C₅₉	1	1	yes	characteristic
1222	#106	C₂³×C₅₉	1	1	yes	characteristic
1223	#106	C₂³×C₅₉	1	1	yes	characteristic
1224	#106	C₂³×C₅₉	1	1	yes	characteristic
1225	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1226	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1227	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1228	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1229	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1230	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1231	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1232	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1233	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1234	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1235	#103	C₂³×C₅₉	1	1	yes	characteristic
1236	#103	C₂³×C₅₉	1	1	yes	characteristic
1237	#103	C₂³×C₅₉	1	1	yes	characteristic
1238	#103	C₂³×C₅₉	1	1	yes	characteristic
1239	#103	C₂³×C₅₉	1	1	yes	characteristic
1240	#103	C₂³×C₅₉	1	1	yes	characteristic
1241	#103	C₂³×C₅₉	1	1	yes	characteristic
1242	#103	C₂³×C₅₉	1	1	yes	characteristic
1243	#103	C₂³×C₅₉	1	1	yes	characteristic
1244	#103	C₂³×C₅₉	1	1	yes	characteristic
1245	#103	C₂³×C₅₉	1	1	yes	characteristic
1246	#103	C₂³×C₅₉	1	1	yes	characteristic
1247	#103	C₂³×C₅₉	1	1	yes	characteristic
1248	#103	C₂³×C₅₉	1	1	yes	characteristic
1249	#103	C₂³×C₅₉	1	1	yes	characteristic
1250	#103	C₂³×C₅₉	1	1	yes	characteristic
1251	#103	C₂³×C₅₉	1	1	yes	characteristic
1252	#103	C₂³×C₅₉	1	1	yes	characteristic
1253	#103	C₂³×C₅₉	1	1	yes	characteristic
1254	#103	C₂³×C₅₉	1	1	yes	characteristic
1255	#103	C₂³×C₅₉	1	1	yes	characteristic
1256	#103	C₂³×C₅₉	1	1	yes	characteristic
1257	#103	C₂³×C₅₉	1	1	yes	characteristic
1258	#103	C₂³×C₅₉	1	1	yes	characteristic
1259	#103	C₂³×C₅₉	1	1	yes	characteristic
1260	#103	C₂³×C₅₉	1	1	yes	characteristic
1261	#102	C₂³×C₅₉	1	1	yes	characteristic
1262	#102	C₂³×C₅₉	1	1	yes	characteristic
1263	#102	C₂³×C₅₉	1	1	yes	characteristic
1264	#102	C₂³×C₅₉	1	1	yes	characteristic
1265	#102	C₂³×C₅₉	1	1	yes	characteristic
1266	#102	C₂³×C₅₉	1	1	yes	characteristic
1267	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1268	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1269	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1270	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1271	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1272	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1273	#97	C₂³×C₅₉	1	1	yes	characteristic
1274	#97	C₂³×C₅₉	1	1	yes	characteristic
1275	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1276	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1277	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1278	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1279	#41	—	2	2	no	—
1280	#41	—	4	1	no	—
1281	C₂×Q₈	—	2	1	no	—
1282	C₂×Q₈	—	2	1	no	—
1283	C₂×Q₈	—	2	1	no	—
1284	C₂×Q₈	—	2	1	no	—
1285	C₂×Q₈	—	2	1	no	—
1286	C₂×Q₈	—	2	1	no	—
1287	C₂×Q₈	—	2	2	no	—
1288	C₂×Q₈	—	2	2	no	—
1289	C₂×Q₈	—	4	1	no	—
1290	C₂×Q₈	—	4	1	no	—
1291	C₂×Q₈	C₂×D₄×C₅₉	1	1	yes	characteristic
1292	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1293	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1294	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1295	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1296	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1297	C₂×D₄	—	2	1	no	—
1298	C₂×D₄	—	2	1	no	—
1299	C₂×D₄	—	2	1	no	—
1300	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1301	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1302	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1303	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1304	C₂²×C₄	—	2	1	no	—
1305	C₂²×C₄	—	2	1	no	—
1306	C₂²×C₄	—	2	1	no	—
1307	C₂²×C₄	—	2	1	no	—
1308	C₂²×C₄	—	2	1	no	—
1309	C₂²×C₄	—	2	1	no	—
1310	C₂²×C₄	—	2	1	no	—
1311	C₂²×C₄	—	2	1	no	—
1312	C₂²×C₄	—	2	1	no	—
1313	C₂²×C₄	—	2	1	no	—
1314	C₂²×C₄	—	2	1	no	—
1315	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1316	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1318	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1319	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1320	Q₁₆	—	2	2	no	—
1321	Q₁₆	—	2	2	no	—
1322	Q₁₆	—	4	1	no	—
1323	Q₁₆	—	4	1	no	—
1324	Q₁₆	—	4	1	no	—
1325	Q₁₆	—	4	1	no	—
1326	SD₁₆	—	4	1	no	—
1327	SD₁₆	—	4	1	no	—
1328	M₁₆	—	4	1	no	—
1329	M₁₆	—	4	1	no	—
1330	C₂×C₈	—	4	1	no	—
1331	C₂×C₈	—	4	1	no	—
1332	C₂×C₈	—	4	1	no	—
1333	C₂×C₈	—	4	1	no	—
1334	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1335	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1336	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1337	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1338	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1339	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1340	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1341	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1397	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1399	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1400	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1401	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1406	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1407	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1408	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1409	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1410	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1411	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1412	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1413	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1414	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1415	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	2	1	no	—
1418	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	2	1	no	—
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1438	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1439	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1440	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1441	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1442	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1443	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1444	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1445	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1446	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1447	C₄²	—	2	1	no	—
1448	C₄²	—	2	1	no	—
1449	C₄²	—	2	1	no	—
1450	C₄²	—	2	1	no	—
1451	C₄²	—	2	1	no	—
1452	C₄²	—	2	1	no	—
1453	C₄²	—	2	1	no	—
1454	C₄²	—	2	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	2	1	no	—
1457	C₄²	—	2	1	no	—
1458	C₄²	—	2	1	no	—
1459	C₄²	—	2	1	no	—
1460	C₄²	—	2	1	no	—
1461	C₄²	—	2	1	no	—
1462	C₄²	—	2	1	no	—
1463	C₄²	—	2	1	no	—
1464	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1465	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1466	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1467	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1468	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1469	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1470	C₂³	—	2	1	no	—
1471	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1472	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1473	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1474	Q₈	—	2	1	no	—
1475	Q₈	—	2	1	no	—
1476	Q₈	—	2	1	no	—
1477	Q₈	—	2	1	no	—
1478	Q₈	—	2	1	no	—
1479	Q₈	—	2	1	no	—
1480	Q₈	—	2	1	no	—
1481	Q₈	—	2	1	no	—
1482	Q₈	—	2	1	no	—
1483	Q₈	—	4	1	no	—
1484	Q₈	—	4	2	no	—
1485	Q₈	—	4	2	no	—
1486	Q₈	—	8	1	no	—
1487	Q₈	—	8	1	no	—
1488	Q₈	—	8	1	no	—
1489	Q₈	—	8	1	no	—
1490	Q₈	2₋¹⁺⁴×C₅₉	1	2	yes	—
1491	D₄	—	2	2	no	—
1492	D₄	—	2	2	no	—
1493	D₄	—	2	1	no	—
1494	D₄	—	2	1	no	—
1495	D₄	—	4	1	no	—
1496	D₄	—	4	2	no	—
1497	D₄	—	4	2	no	—
1498	D₄	—	8	1	no	—
1499	C₂×C₄	—	2	2	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	4	1	no	—
1522	C₂×C₄	—	4	2	no	—
1523	C₂×C₄	—	4	2	no	—
1524	C₂×C₄	—	4	2	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	8	1	no	—
1527	C₂×C₄	—	8	1	no	—
1528	C₂×C₄	—	8	1	no	—
1529	C₂×C₄	—	8	1	no	—
1530	C₂×C₄	—	8	1	no	—
1531	C₂×C₄	—	8	1	no	—
1532	C₂×C₄	—	8	1	no	—
1533	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1534	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1535	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1536	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1537	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1538	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1539	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1540	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1541	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1542	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1543	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1544	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1545	C₈	—	2	1	no	—
1546	C₈	—	2	1	no	—
1547	C₈	—	2	1	no	—
1548	C₈	—	2	1	no	—
1549	C₈	—	2	1	no	—
1550	C₈	—	2	1	no	—
1551	C₈	—	2	1	no	—
1552	C₈	—	2	1	no	—
1553	C₂²	—	2	1	no	—
1554	C₂²	—	2	1	no	—
1555	C₂²	—	2	1	no	—
1556	C₂²	—	2	1	no	—
1557	C₂²	—	2	1	no	—
1558	C₂²	—	2	1	no	—
1559	C₂²	—	2	1	no	—
1560	C₂²	—	2	1	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	—	4	1	no	—
1564	C₂²	C₅₉×#578	1	2	yes	—
1565	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1566	C₄	—	2	1	no	—
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	2	1	no	—
1576	C₄	—	2	1	no	—
1577	C₄	—	2	2	no	—
1578	C₄	—	4	1	no	—
1579	C₄	—	4	1	no	—
1580	C₄	—	4	1	no	—
1581	C₄	—	4	1	no	—
1582	C₄	—	4	1	no	—
1583	C₄	—	4	1	no	—
1584	C₄	—	4	1	no	—
1585	C₄	—	4	1	no	—
1586	C₄	—	4	1	no	—
1587	C₄	—	4	1	no	—
1588	C₄	—	4	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	C₂×2₋¹⁺⁴×C₅₉	1	1	yes	characteristic
1593	C₄	C₅₉×#585	1	1	yes	characteristic
1594	C₂	—	2	2	no	—
1595	C₂	—	4	1	no	—
1596	C₂	—	4	1	no	—
1597	C₂	—	8	1	no	—
1598	C₂	C₅₉×#3489	1	1	yes	characteristic
1599	C₂	C₂×C₅₉×#578	1	1	yes	characteristic
1600	C₂	C₅₉×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅₉
prime radical	C₅₉×#3516	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅₉ ◁ C₅₉×#529 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₅₉×#3563	C₂	semidirect
3. C₅₉×#3390	C₂	semidirect
4. C₅₉×#3383	C₂	semidirect
5. C₅₉×#3377	C₂	semidirect
6. C₅₉×#3364	C₂	semidirect
7. C₅₉×#3352	C₂	semidirect
8. C₅₉×#3346	C₂	semidirect
9. C₅₉×#3344	C₂	semidirect
10. C₅₉×#3338	C₂	semidirect
11. C₅₉×#3337	C₂	semidirect
12. C₅₉×#3336	C₂	semidirect
13. C₅₉×#3327	C₂	semidirect
14. C₅₉×#3316	C₂	semidirect
15. C₅₉×#3312	C₂	semidirect
16. C₅₉×#3300	C₂	semidirect
17. C₅₉×#3300	C₂	semidirect
18. C₅₉×#3299	C₂	semidirect
19. C₅₉×#3261	C₂	semidirect
20. C₅₉×#3258	C₂	semidirect
21. C₅₉×#3248	C₂	semidirect
22. C₅₉×#3243	C₂	semidirect
23. C₅₉×#3242	C₂	semidirect
24. C₅₉×#3232	C₂	semidirect
25. C₅₉×#3127	C₂	semidirect
26. C₅₉×#3120	C₂	semidirect
27. C₅₉×#3104	C₂	semidirect
28. C₅₉×#3083	C₂	semidirect
29. C₅₉×#3082	C₂	semidirect
30. C₂×C₅₉×#479	C₂	semidirect
31. C₅₉×#2994	C₂	semidirect
752. #62214	C₅₉	direct (N × H)
794. #3563	C₂×C₅₉	semidirect
796. #3390	C₂×C₅₉	semidirect
797. #3383	C₂×C₅₉	semidirect
798. #3377	C₂×C₅₉	semidirect
799. #3364	C₂×C₅₉	semidirect
800. #3352	C₂×C₅₉	semidirect
801. #3346	C₂×C₅₉	semidirect
802. #3344	C₂×C₅₉	semidirect
803. #3338	C₂×C₅₉	semidirect
804. #3337	C₂×C₅₉	semidirect
805. #3336	C₂×C₅₉	semidirect
806. #3327	C₂×C₅₉	semidirect
807. #3316	C₂×C₅₉	semidirect
808. #3312	C₂×C₅₉	semidirect
809. #3300	C₂×C₅₉	semidirect
810. #3300	C₂×C₅₉	semidirect
811. #3299	C₂×C₅₉	semidirect
812. #3261	C₂×C₅₉	semidirect
813. #3258	C₂×C₅₉	semidirect
814. #3248	C₂×C₅₉	semidirect
815. #3243	C₂×C₅₉	semidirect
816. #3242	C₂×C₅₉	semidirect
817. #3232	C₂×C₅₉	semidirect
818. #3127	C₂×C₅₉	semidirect
819. #3120	C₂×C₅₉	semidirect
820. #3104	C₂×C₅₉	semidirect
821. #3083	C₂×C₅₉	semidirect
822. #3082	C₂×C₅₉	semidirect
823. C₂×#479	C₂×C₅₉	semidirect
824. #2994	C₂×C₅₉	semidirect
1003. C₅₉	#62214	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₅₉×#3563	2
C₅₉×#3516	2
C₅₉×#3390	2
C₅₉×#3383	2
C₅₉×#3377	2
C₅₉×#3364	2
C₅₉×#3352	2
C₅₉×#3346	2
C₅₉×#3344	2
C₅₉×#3338	2
C₅₉×#3337	2
C₅₉×#3336	2
C₅₉×#3327	2
C₅₉×#3316	2
C₅₉×#3312	2
C₅₉×#3300	2
C₅₉×#3299	2
C₅₉×#3261	2
C₅₉×#3258	2
C₅₉×#3248	2
C₅₉×#3243	2
C₅₉×#3242	2
C₅₉×#3232	2
C₅₉×#3127	2
C₅₉×#3120	2
C₅₉×#3104	2
C₅₉×#3083	2
C₅₉×#3082	2
C₂×C₅₉×#479	2
C₅₉×#2994	2
#62214	59

Subgroups — C59×#62214 #28474323

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62214 #28474323